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Simplifying 49b2 + f2 + -14bf = 0 Reorder the terms: -14bf + 49b2 + f2 = 0 Solving -14bf + 49b2 + f2 = 0 Solving for variable 'b'. Factor a trinomial. (7b + -1f)(7b + -1f) = 0Subproblem 1
Set the factor '(7b + -1f)' equal to zero and attempt to solve: Simplifying 7b + -1f = 0 Solving 7b + -1f = 0 Move all terms containing b to the left, all other terms to the right. Add 'f' to each side of the equation. 7b + -1f + f = 0 + f Combine like terms: -1f + f = 0 7b + 0 = 0 + f 7b = 0 + f Remove the zero: 7b = f Divide each side by '7'. b = 0.1428571429f Simplifying b = 0.1428571429fSubproblem 2
Set the factor '(7b + -1f)' equal to zero and attempt to solve: Simplifying 7b + -1f = 0 Solving 7b + -1f = 0 Move all terms containing b to the left, all other terms to the right. Add 'f' to each side of the equation. 7b + -1f + f = 0 + f Combine like terms: -1f + f = 0 7b + 0 = 0 + f 7b = 0 + f Remove the zero: 7b = f Divide each side by '7'. b = 0.1428571429f Simplifying b = 0.1428571429fSolution
b = {0.1428571429f, 0.1428571429f}
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